- E-mailJonathan.Cubides@uib.no
- Visitor AddressThormøhlensgate 555020 BergenRoom405M1
- Postal AddressPostboks 78035020 Bergen

The context of my research is within the field of formal methods. Precisely, I study mathematical constructions of graph theory in a relatively recent type theory called homotopy type theory. Many type theories have computational meaning, making them practical to use for computing. One can consider a type theory as a formal system and also as a functional programming language. There is, therefore, no distinction between doing mathematics as proving statements and programming on the computer. For example, I write programs that contain lemmas along with their corresponding proofs. I can assess the correctness of my results with a total level of confidence. The computer checks every statement and each proof. I, of course, must assume the correctness of the proof-checker using this approach.

- (2019). Planar graphs in HoTT.

More information in national current research information system (CRIStin)

At UiB, I started the following open-source projects:

- Mini-HoTT: A library to formalize Univalent Mathematics in Agda.
- Agda-Pkg: A package-manager for the proof-assistant Agda.
- HoTT-cheatsheets: Homotopy type theory cheat sheets to follow INF329.